A projectile when fired at a certain inclination has maximum rang R. Find its maximum height attained by it in terms of R .

Explanation

To find the maximum height attained by a projectile in terms of its maximum range \( R \), we can follow these steps:

### Step 1: Understand the Components of Motion
When a projectile is launched at an angle \( \theta \) with an initial velocity \( v \), it has two components of velocity:
- Horizontal component: \( v_x = v \cos \theta \)
- Vertical component: \( v_y = v \sin \theta \)

### Step 2: Determine the Time of Flight
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